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Finding the Third Proportional to 97,138.50 and 138,441.75

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Solution

The third proportional to 97,138.50 and 138,441.75 is: 197,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,138.50 : 138,441.75 = 138,441.75 : x
  2. Step 2: Convert to fraction form
    97,138.50/138,441.75 = 138,441.75/x
  3. Step 3: Cross multiply
    97,138.50x = 138,441.75 × 138,441.75
  4. Step 4: Simplify right side
    97,138.50x = 19,166,118,143.06
  5. Step 5: Solve for x
    x = 19,166,118,143.06/97,138.50
  6. Step 6: Final answer
    x = 197,307.12

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.